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 one year ago
4 sin^4 x + 3sin^2 x  1 = 0
After I borrow the 4 I just don't know what to do afterwords..
 one year ago
4 sin^4 x + 3sin^2 x  1 = 0 After I borrow the 4 I just don't know what to do afterwords..

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Iamgmg90
 one year ago
Best ResponseYou've already chosen the best response.1let sin^2x = u, substitute and solve as a quadratic? i.e 4u^2 + 3u  1 = (4u  1)(u + 1 ) so u = 1/4 or 1, therefore sin^2(x) = 1/4 or 1, use calculator

Iamgmg90
 one year ago
Best ResponseYou've already chosen the best response.1sin^1(SQRT(1/4) = sin^1(1/2)

amelapal
 one year ago
Best ResponseYou've already chosen the best response.0Can the quadratic formula be used if its to the 4th degree because I got the same thing, however I used factoring with borrow and payback.

ByteMe
 one year ago
Best ResponseYou've already chosen the best response.1Yes... you can use the QF but I think factoring, as shown above is faster...

ByteMe
 one year ago
Best ResponseYou've already chosen the best response.1Also, \(\large sin^2x=\frac{1}{4} \) gives \(\large sinx=\pm \frac{1}{2} \) so you'll need to solve sinx=1/2, and also sinx=1/2

Iamgmg90
 one year ago
Best ResponseYou've already chosen the best response.1Oh, thanks. Yes square rooting yields both signs, as squaring makes positive (negative time negative). The 1 can be ignored as it would be a complex number

amelapal
 one year ago
Best ResponseYou've already chosen the best response.0So the angles would be 30 and 150, and 210 and 330?

amelapal
 one year ago
Best ResponseYou've already chosen the best response.0The other one would come up with i so is it okay to ignore it since it is complex?
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